Signatures of aspherical 4-manifolds

Description of video

Date: 10/6/23
Speaker :Marco Golla

AGDT Seminar



    Abstract: A conjecture attributed to Singer stipulates that most L^2 Betti numbers of an aspherical manifold vanish. In dimension 4, this implies a conjecture of Gromov: the Euler characteristic of an aspherical 4-manifold bounds its signature. I will talk about a proof of Gromov’s conjecture for geometrically decomposable 4-manifolds. This is joint work with Luca F. Di Cerbo.